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102664520 = 2357373983
BaseRepresentation
bin1100001111010…
…00100101001000
321011011220020122
412013220211020
5202240231040
614104242412
72354430320
oct607504510
9234156218
10102664520
1152a51412
122a470408
131836754a
14d8c6280
15902e1b5
hex61e8948

102664520 has 64 divisors (see below), whose sum is σ = 264971520. Its totient is φ = 35069184.

The previous prime is 102664519. The next prime is 102664531. The reversal of 102664520 is 25466201.

It is a self number, because there is not a number n which added to its sum of digits gives 102664520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103949 + ... + 104931.

It is an arithmetic number, because the mean of its divisors is an integer number (4140180).

Almost surely, 2102664520 is an apocalyptic number.

102664520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102664520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132485760).

102664520 is an abundant number, since it is smaller than the sum of its proper divisors (162307000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102664520 is a wasteful number, since it uses less digits than its factorization.

102664520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 102664520 is about 10132.3501716038. The cubic root of 102664520 is about 468.2453360952.

The spelling of 102664520 in words is "one hundred two million, six hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 373 746 983 1492 1865 1966 2611 2984 3730 3932 4915 5222 6881 7460 7864 9830 10444 13055 13762 14920 19660 20888 26110 27524 34405 39320 52220 55048 68810 104440 137620 275240 366659 733318 1466636 1833295 2566613 2933272 3666590 5133226 7333180 10266452 12833065 14666360 20532904 25666130 51332260 102664520